Impact of the Hall effect in star formation : improving the angular momentum conservation

Abstract

We present here a minor modification of our numerical implementation of the Hall effect for the 2D Riemann solver used in Constrained Transport schemes, as described in Marchand et al. (2018). In the previous work, the tests showed that the angular momentum was not conserved during protostellar collapse simulations, with significant impact. By removing the whistler waves speed from the characteristic speeds of non-magnetic variables in the 1D Riemann solver, we are able to improve the angular momentum conservation in our test-case by one order of magnitude, while keeping the second-order numerical convergence of the scheme. We also reproduce the simulations of Tsukamoto et al. (2015) with consistent resistivities, the three non-ideal MHD effects and initial rotation, and agree with their results. In this case, the violation of angular momentum conservation is negligible in regard to the total angular momentum and the angular momentum of the disk.

arXiv comment6 pages, 6 figures, published in A&A

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• IDEFIX: a versatile performance-portable Godunov code for astrophysical flows
• Do we need non-ideal magnetohydrodynamics to model protostellar discs?
• On the origin of magnetic fields in stars II: The effect of numerical resolution
• Universal protoplanetary disk size under complete non-ideal magnetohydrodynamics: The interplay between ion-neutral friction, Hall effect, and the Ohmic dissipation
• Impact of turbulence intensity and fragmentation velocity on dust particle size evolution and non-ideal magnetohydrodynamics effects
• Star-forming environments in smoothed particle magnetohydrodynamics simulations I: Clump extraction and properties
• Numerical Insights into Disk Accretion, Eccentricity, and Kinematics in the Class 0 phase
• Magnetic clumping of charged dust in the dense interstellar medium
• Discs and outflows in the early phases of massive star formation: influence of magnetic fields and ambipolar diffusion